https://file.aiquickdraw.com/mathbot/file/1730165055085li522b3b.jpg

To solve the equation:

\[
\log(x) = 6
\]

we need to rewrite it in exponential form. Since \(\log(x)\) typically implies a base of 10, we convert it as follows:

\[
x = 10^6
\]

So, the answer is:

\[
x = 1,000,000
\]

Let me know if you need further details or have questions.

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**Related Questions:**
1. How would the solution change if the base of the logarithm were different, such as base 2?
2. What if the equation were \(\log(x) = -6\)?
3. How can you check the answer to a logarithmic equation?
4. How do you solve \(\log(x + 2) = 6\)?
5. What are the steps for solving an equation like \(\ln(x) = 6\)?

**Tip:** Always confirm the base of the logarithm when solving equations, as it can change the solution dramatically.

Use rules of logarithms to combine into a single logarithm (if necessary), then solve for x. log(x) = 6

Learn how to solve the logarithmic equation log(x) = 6 by applying properties of logarithms and converting it into an exponential equation. Suitable for high school students in Grades 10-12.

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